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General Mathematics · Unit 2 · Applications of linear equations and their graphs · Piece-wise linear graphs and step graphs

Sketch piece-wise linear graphs and step graphs.

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Question 1

A taxi company charges a flagfall of $4.50 and then $2.80 per kilometre for the first 10 km. After 10 km, the rate reduces to $1.90 per kilometre. Which graph correctly shows the total fare, $C$, in dollars as a function of distance travelled, $d$, in kilometres, for $0 \leq d \leq 20$?

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Question 2

A mobile phone plan charges a fixed monthly fee of $20 for up to 2 GB of data. For data usage between 2 GB and 5 GB, an additional $8 per GB is charged. For data usage exceeding 5 GB, an additional $12 per GB is charged. Which graph correctly shows the total monthly cost ($) as a function of data usage (GB) for 0 ≤ x ≤ 6?

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Interpret piece-wise linear graphs and step graphs used to model practical situations.
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